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42768460 = 2257305489
BaseRepresentation
bin1010001100100…
…1100001001100
32222110212022001
42203021201030
541422042320
64124402044
71026345250
oct243114114
988425261
1042768460
1122161639
12123a6324
138b259a7
145974260
153b4c20a
hex28c984c

42768460 has 24 divisors (see below), whose sum is σ = 102644640. Its totient is φ = 14663424.

The previous prime is 42768443. The next prime is 42768463. The reversal of 42768460 is 6486724.

It is not an unprimeable number, because it can be changed into a prime (42768463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152605 + ... + 152884.

It is an arithmetic number, because the mean of its divisors is an integer number (4276860).

Almost surely, 242768460 is an apocalyptic number.

It is an amenable number.

42768460 is an abundant number, since it is smaller than the sum of its proper divisors (59876180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42768460 is a wasteful number, since it uses less digits than its factorization.

42768460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305505 (or 305503 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The square root of 42768460 is about 6539.7599344318. The cubic root of 42768460 is about 349.7098547781.

The spelling of 42768460 in words is "forty-two million, seven hundred sixty-eight thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 305489 610978 1221956 1527445 2138423 3054890 4276846 6109780 8553692 10692115 21384230 42768460